Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
Journal of Inequalities and Applications, 2010 Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via ...
Juri Lee, Eunyoung Son, Hark-Mahn Kim
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Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces
, 2020 In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation in 2-Banach spaces by using Brzdȩk’s fixed point approach ...
Naif Sayar, Khaled Yahya, Bergam, Amal
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On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation
Abstract and Applied Analysis, 2013 We take into account the stability of ring homomorphism and ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation.
Jaiok Roh, Ick-Soon Chang
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On the stability of set-valued functional equations with the fixed point alternative [PDF]
, 2012 Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic set-valued functional equation, a generalized quadratic set-valued functional equation and a
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Stability of Bi-Additive Mappings and Bi-Jensen Mappings
, 2021 Symmetry is repetitive self-similarity. We proved the stability problem by replicating the well-known Cauchy equation and the well-known Jensen equation into two variables.
Won-Gil Park, Jae-Hyeong Bae
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Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
Journal of Inequalities and Applications, 2010 We establish a generalized Ulam-Hyers stability theorem in a Šerstnev probabilistic normed space (briefly, Šerstnev PN-space) endowed with .
Ghaemi MB +3 more
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Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
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On Pexider Differences in Topological Vector Spaces
Abstract and Applied Analysis, 2011 Let 𝑋 be a normed space and 𝑌 a sequentially complete Hausdorff topological vector space over the field ℚ of rational numbers. Let 𝐷1={(𝑥,𝑦)∈𝑋×𝑋∶‖𝑥‖+‖𝑦‖≥𝑑}, and 𝐷2={(𝑥,𝑦)∈𝑋×𝑋∶‖𝑥‖+‖𝑦‖0.
Abbas Najati +2 more
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High‐Throughput Screening for Accelerated Oxide Glass Discovery
Advanced Science, EarlyView.A high‐throughput screening platform is presented that allows for accelerating laboratory glass synthesis by a factor of 102, using multicomponent stereolithographic printing. Automatic sample evaluation is achieved via Raman spectroscopy and similarity analysis without any sample preparation.
Igor Seibel‐Geraschenko +5 more
wiley +1 more source
Homomorphisms and derivations on C*-ternary algebras assocoated with a generalized Cauchy-Jensen type additive functional equation [PDF]
, 2014 In this paper, we prove the generalized Hyers-Ulam stability of C∗-ternary homomorphisms and C∗-ternary derivations on C∗-ternary algebras associated with the generalized Cauchy-Jensen type additive functional equation for all xi; xj ∈ X where n
Rassias, John Michael +2 more
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